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Simplifying 7 + 4(5x + 8) = 2(2x + 1) + 5 Reorder the terms: 7 + 4(8 + 5x) = 2(2x + 1) + 5 7 + (8 * 4 + 5x * 4) = 2(2x + 1) + 5 7 + (32 + 20x) = 2(2x + 1) + 5 Combine like terms: 7 + 32 = 39 39 + 20x = 2(2x + 1) + 5 Reorder the terms: 39 + 20x = 2(1 + 2x) + 5 39 + 20x = (1 * 2 + 2x * 2) + 5 39 + 20x = (2 + 4x) + 5 Reorder the terms: 39 + 20x = 2 + 5 + 4x Combine like terms: 2 + 5 = 7 39 + 20x = 7 + 4x Solving 39 + 20x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 39 + 20x + -4x = 7 + 4x + -4x Combine like terms: 20x + -4x = 16x 39 + 16x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 39 + 16x = 7 + 0 39 + 16x = 7 Add '-39' to each side of the equation. 39 + -39 + 16x = 7 + -39 Combine like terms: 39 + -39 = 0 0 + 16x = 7 + -39 16x = 7 + -39 Combine like terms: 7 + -39 = -32 16x = -32 Divide each side by '16'. x = -2 Simplifying x = -2
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